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Finding the Fourth Proportional to 3,165.72, 4,363.34 and 2,221.80

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Solution

The fourth proportional to 3,165.72, 4,363.34 and 2,221.80 is: 3,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.72 : 4,363.34 = 2,221.80 : x
  2. Step 2: Convert to fraction form
    3,165.72/4,363.34 = 2,221.80/x
  3. Step 3: Cross multiply
    3,165.72x = 4,363.34 × 2,221.80
  4. Step 4: Simplify right side
    3,165.72x = 9,694,468.81
  5. Step 5: Solve for x
    x = 9,694,468.81/3,165.72
  6. Step 6: Final answer
    x = 3,062.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.